Multiple limit cycles for the continuous model of the rock–scissors–paper game between bacteriocin producing bacteria

作者：

Highlights：

• Two limit cycles for the continuous model of the rock–scissors–paper (RSP) game is constructed.

• The Hopf bifurcation method is used for the construction of limit cycles.

• The results give a partial answer to an open question posed by Neumann and Schuster.

摘要

•Two limit cycles for the continuous model of the rock–scissors–paper (RSP) game is constructed.•The Hopf bifurcation method is used for the construction of limit cycles.•The results give a partial answer to an open question posed by Neumann and Schuster.

论文关键词：Competitive Lotka–Volterra system,Limit cycles,Hopf bifurcation,Bacteriocin,Rock–scissors–paper game

论文评审过程：Received 11 December 2015, Revised 20 July 2016, Accepted 26 July 2016, Available online 24 October 2016, Version of Record 24 October 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.07.044